1004007017 has 16 divisors (see below), whose sum is σ = 1129513728. Its totient is φ = 885487680.

The previous prime is 1004006989. The next prime is 1004007031. The reversal of 1004007017 is 7107004001.

It is a cyclic number.

It is not a de Polignac number, because 1004007017 - 2¹⁴ = 1003990633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004007017.

It is not an unprimeable number, because it can be changed into a prime (1004007047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433292 + ... + 435602.

It is an arithmetic number, because the mean of its divisors is an integer number (70594608).

Almost surely, 2^1004007017 is an apocalyptic number.

It is an amenable number.

1004007017 is a deficient number, since it is larger than the sum of its proper divisors (125506711).

1004007017 is a wasteful number, since it uses less digits than its factorization.

1004007017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800.

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 1004007017 is about 31686.0697625944. The cubic root of 1004007017 is about 1001.3338922736. Note that the first 3 decimals are identical.

The spelling of 1004007017 in words is "one billion, four million, seven thousand, seventeen".